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Transformation and Dilation equation plug in?
How do you algebraically prove that a certain point (say (-5, 0) on the pre-image f(x)) transforms in correspondence with:
g(x) = image (translated and dialted)
g(x)=1/2 f(x-5) +6
Just plugging the value in doesn't work. I have the points on the graph to check the algebra once I figure this out, but I cant seem to figure out how to do this.
Thanks!
1 Answer
- Alam Ko IyanLv 71 decade agoFavorite Answer
f(x) ... original graph
f(x-5) ... translated 5 units to the right
1/2 f(x-5) ... dilated with factor of 1/2
1/2 f(x-5) + 6 ... translated again 6 units upward
this is the last transformation and this is the expected graph of g(x).
